Factor the common factor out of each expression.

Answers

Answer 1

Answer: 6x^3+6x^5+12x^4=6x^3 (1+6X^2+2X)= 6X^3 [1+2X(3X+1)]

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The sum of three consecutive odd numbers is 75 what is the smallest of three numbers?? Please help

Answers

The smallest number would be 23.

Let "n" represent the smallest odd number.
So the consecutive odd integers would be:
n
n+2
n+4

Adding these 3 will give you 75.
Here's a breakdown:

n + n+2 + n+4 = 75
3n + 6 = 75
3n = 75 - 6
3n = 69
n = 69/3
n = 23

So here's how to find the consecutive numbers:
n = 23 < --- (smallest number)
n+2 = 23+2 = 25
n+4 = 23+4 = 27

So, the three consecutive odd numbers are 23, 25, 27.

23+25+27 = 75

Polygons ABCD and EFGH are similar. What is the perimeter of EFGH?

Answers

If polygons ABCD and EFGH are similar, then their perimeters most likely are also similar. Polygon EFGH also have the same perimeter with polygon ABCD. Having similar polygons is referred as congruent polygons. Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object.

Find the volume of a sphere with a radius of 6 cm. Approximate 2004-06-01-05-as 3.14 and round your answer to the nearest hundredth.

Answers

Given:
Radius = 6 cm

Volume of a sphere = 4/3 * π * r³

V = 4/3 * 3.14 * (6cm)³
V = 1.33 * 3.14 * 216cm³

V = 902.06 cm³

Answer:

C. 904.32

Step-by-step explanation:

Subtract. Write your answer in simplest form.

5 2/6 - 2 3/6=____

Answers

$2 (5)/(6)$

Working;
Start by converting both terms into improper fractions;

$(32)/(6)$ - $(15)/(6)$

This gives;
$(17)/(6)$

On simplifying;
2 $(5)/(6)$

5 2/6 = 32/6
2 3/6 = 15/6

32/6 – 15/6 = 17/6 = 2 5/6

If the sale tax is 8.875, find the total cost you would pay for :A 22.50 shirt
A 6,500 car
A house for 750,000

Answers

8.875% = 0.08875

A 22.50 shirt would cost after sales tax:
$22.5 * 0.08875 = \boxed{24.50}$

A 6,500 car would cost after sales tax:
$6,500 * 0.08875 = \boxed{7076.88}$

A house for 750,000 would cost after sales tax:
$750,000 * 0.08875 = \boxed{816,562.50}$

If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L'?

Answers

The coordinate of point L' after translation is L'(6, -8)

Translation of coordinates

Given the coordinates of JKLM as J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5)

Using the translation rule

(x, y) → (x + 8, y − 3)

The coordinate of point L' after translaton will be;

L' = (-2+8, -5-3)
L' = (6, -8)

Hence the coordinate of point L' after translation is L'(6, -8)

Learn more on translation here: brainly.com/question/12861087

Another answer: According to the figure, the coordinates of JKLM are, J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5) JKLM is translated to J'K'L'M' by means of the rule (x+8, y-3), we should know that (x, y) are coordinates of the pre image, to find the coordinates of each image we have (x', y') such that x' =x+8, and y' =y-3. Therefore, the coordinates of L' can be found by L'(-2+8, -5-3)=(6, -8) the final answer is L'(6, -8).

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